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Relation-Theoretic Nonlinear Almost Contractions with an Application to Boundary Value Problems

Author

Listed:
  • Salma Aljawi

    (Department of Mathematical Sciences, College of Sciences, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia)

  • Izhar Uddin

    (Department of Mathematics, Jamia Millia Islamia, New Delhi 110025, India
    Mathematics Research Center, Department of Mathematics, Near East University, Near East Boulevard, RNC Mersin 10, Nicosia 99138, Turkey)

Abstract

This article investigates certain fixed-point results enjoying nonlinear almost contraction conditions in the setup of relational metric space. Some examples are constructed in order to indicate the profitability of our results. As a practical use of our findings, we demonstrate the existence of a unique solution to a specific first-order boundary value problem.

Suggested Citation

  • Salma Aljawi & Izhar Uddin, 2024. "Relation-Theoretic Nonlinear Almost Contractions with an Application to Boundary Value Problems," Mathematics, MDPI, vol. 12(9), pages 1-10, April.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:9:p:1275-:d:1381071
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